Application of second order inhomogeneous linear recurrences to solving a tridiagonal system

• Autorzy: Borowska J. , Łacińska L.

Identyfikatory

DOI

10.17512/jamcm.2016.2.01

• Języki publikacji: EN

Abstrakty

EN

In this paper we consider a linear system of algebraic equations of a tridiagonal type. We show that the solution of such a system can be represented by a corresponding second order inhomogeneous linear recurrence equation. This approach enables us to represent the solution to the tridiagonal Toeplitz linear system of equations in a closed form.

Słowa kluczowe

EN

tridiagonal system; linear recurrence equations

PL

system tridiagonalny; liniowe równania rekurencyjne; macierz tridiagonalna

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 2
• Strony: 5--10
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Borowska J.

• Institute of Mathematics, Czestochowa University of Technology Częstochowa, Poland

autor

Łacińska L.

• Institute of Mathematics, Czestochowa University of Technology

Bibliografia

• [1] Mazilu I., Mazilu D.A., Williams H.T., Applications of tridiagonal matrices in non-equilibrium statistical physics, Electronic Journal of Linear Algebra 2012, 24, 7-17.
• [2] Soujanya G.B.S.L., Reddy Y.N., Computational method for singularly perturbed delay differential equations with layer or oscillatory behaviour, Applied Mathematics and Information Sciences 2016, 10(2), 527-536.
• [3] El-Mikkawy M., Atlan F., Algorithms for solving linear systems of equations of tridiagonal type via transformations, Applied Mathematics 2014, 5, 413-422.
• [4] Borowska J., Łacińska L., Rychlewska J., Application of difference equation to certain tridiagonal matrices, Scientific Research of the Institute of Mathematics and Computer Science 2012, 3(11), 15-20.
• [5] Elaydi S., An Introduction to Difference Equations, Springer, 2005.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.